I think they will warm it as it drips and be able to take some.
The thing about sugar bricks in cold weather is they cant move sideways to to get it, and you cant just add a block of sugar on top of a clump of bees.
This was one that starved with alot of sugar still on.
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Your liquid feeder on top shouldn't actually drip. The laws of science says that the vacuum that is created above the liquid will stop the liquid from dripping out. The air pressure outside the feeder will be greater than the inside of the feeder, so the liquid will stop dripping. I think that is the explanation. You also run the risk of the liquid freezing and breaking the container. When that thaws it could kill your bees.
A Candy Board will cover the entire area of the colony and will increase the chances of survival no matter where the colony clusters. Another trick is to add the sugar brick early in the winter season, before the bees have worked their way up to the top bars.
When honey bees starve in winter, you typically find a lot of bees with their heads stuck in cells. You would probably find the bees in a cluster formation. I had one that had worked their way into a corner and starved. It's heartbreaking.